新型Boussinesq方程的进一步改善
Further improvement of new Boussinesq-type equations
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摘要: 基于传统的Boussinesq方程,通过速度变换及在方程中加入高阶项的方法,给出了进一步改善线性色散关系及变浅作用系数的方程,其线性色散关系及变浅作用系数的精度均为O(β8)(β=h0/L,L为特征波长,h0为特征水深).
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关键词:
- Boussinesq方程 /
- 色散性 /
- 变浅作用 /
- 高阶
Abstract: By means of velocity transformation and adding high-order terms in the classical Boussinesq equations,the new forms of the Boussinesq-type equations are obtained.The linear dispersion and shoaling characteristics of the new equations are oder of O(β),in which,β=h0/L, h0 and L are typical value of water depth and wavelength.-
Key words:
- Boussinesq equations /
- linear dispersion /
- shoaling characteristics /
- high order
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